Multiple Linear Regression - Estimated Regression Equation

Connected[t] = + 20.8206973025298 + 0.341980886543589Separate[t] + 0.038296948694897Software[t] + 0.0567724161221237Happiness[t] -0.047713000604139Depression[t] + 0.0483024999381042Belonging[t] -0.0435495965731502`Belonging_Final\r`[t] + e[t]

Multiple Linear Regression - Ordinary Least Squares
Variable	Parameter	S.D.	T-STAT H0: parameter = 0	2-tail p-value	1-tail p-value
(Intercept)	20.8206973025298	4.122094	5.051	1e-06	1e-06
Separate	0.341980886543589	0.071678	4.7711	4e-06	2e-06
Software	0.038296948694897	0.118074	0.3243	0.746112	0.373056
Happiness	0.0567724161221237	0.130761	0.4342	0.664769	0.332385
Depression	-0.047713000604139	0.096434	-0.4948	0.621462	0.310731
Belonging	0.0483024999381042	0.076182	0.634	0.526988	0.263494
`Belonging_Final\r`	-0.0435495965731502	0.109504	-0.3977	0.691399	0.345699

Multiple Linear Regression - Regression Statistics
Multiple R	0.38853646818059
R-squared	0.150960587106247
Adjusted R-squared	0.118094545316811
F-TEST (value)	4.59320863989076
F-TEST (DF numerator)	6
F-TEST (DF denominator)	155
p-value	0.000254585517122985
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation	3.16957765393201
Sum Squared Residuals	1557.16448816729

Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or Index	Actuals	Interpolation Forecast	Residuals Prediction Error
1	41	35.6642376003639	5.33576239963614
2	39	34.6153981605676	4.38460183943243
3	30	34.6798790707069	-4.67987907070691
4	31	33.8952952732073	-2.89529527320731
5	34	35.5459446358744	-1.54594463587438
6	35	33.2912239384255	1.70877606157447
7	39	32.5754934056515	6.42450659434849
8	34	35.6684070818558	-1.6684070818558
9	36	35.2387011013126	0.761298898687349
10	37	35.9012288736915	1.09877112630847
11	38	33.9750426033907	4.02495739660933
12	36	34.7757810405815	1.22421895941845
13	38	34.5088053078341	3.49119469216594
14	39	35.6488123860698	3.35118761393019
15	33	36.487406695461	-3.48740669546104
16	32	33.9262212798355	-1.92622127983548
17	36	33.9368426256915	2.06315737430849
18	38	36.6147642225586	1.38523577744137
19	39	35.860747783038	3.13925221696204
20	32	33.6971957262022	-1.69719572620217
21	32	34.6176770164971	-2.61767701649713
22	31	33.2065704851778	-2.20657048517777
23	39	35.7072874524236	3.29271254757637
24	37	35.6861102217085	1.31388977829149
25	39	34.4384822504825	4.5615177495175
26	41	34.1608497007305	6.8391502992695
27	36	35.3548708124634	0.64512918753665
28	33	35.5059564495294	-2.50595644952943
29	33	34.5570973255613	-1.55709732556133
30	34	33.8133488615412	0.186651138458813
31	31	33.0649369255698	-2.06493692556981
32	27	33.2640059717531	-6.26400597175307
33	37	33.8499201833247	3.15007981667527
34	34	35.9660285040184	-1.96602850401838
35	34	33.4595340403796	0.540465959620386
36	32	34.4140950988402	-2.41409509884023
37	29	32.6403006334608	-3.64030063346084
38	36	34.4015050203492	1.59849497965082
39	29	33.9607838932958	-4.96078389329581
40	35	34.2537368886204	0.74626311137964
41	37	34.1838775448962	2.81612245510377
42	34	34.5125118384423	-0.512511838442295
43	38	34.0363928652127	3.96360713478731
44	35	33.6640155334386	1.33598446656144
45	38	32.4393470391762	5.56065296082385
46	37	34.7964054182489	2.20359458175114
47	38	36.3450112904894	1.65498870951059
48	33	34.815463168835	-1.81546316883498
49	36	36.2319754311915	-0.231975431191525
50	38	34.0998031087716	3.9001968912284
51	32	36.3449546711523	-4.34495467115228
52	32	33.0842088359652	-1.08420883596525
53	32	33.7630149321699	-1.76301493216992
54	34	35.318591863025	-1.31859186302499
55	32	33.5872684216863	-1.5872684216863
56	37	33.8970565550341	3.10294344496587
57	39	34.8103536290788	4.18964637092123
58	29	34.7369645055259	-5.73696450552592
59	37	35.4108644840032	1.58913551599683
60	35	34.3051332593861	0.694866740613915
61	30	31.3306054898875	-1.33060548988755
62	38	34.8326568811309	3.16734311886915
63	34	35.13768683282	-1.13768683281998
64	31	34.4998190874649	-3.49981908746488
65	34	33.2841837134416	0.715816286558406
66	35	35.745001355216	-0.745001355215993
67	36	34.4984431201996	1.50155687980041
68	30	32.3247096970489	-2.32470969704889
69	39	36.5789862089111	2.42101379108892
70	35	35.6209471620122	-0.620947162012202
71	38	34.9330148721485	3.06698512785147
72	31	35.6010993854657	-4.60109938546567
73	34	36.7475482529117	-2.74754825291166
74	38	37.3434158011392	0.65658419886079
75	34	32.6068731926308	1.39312680736916
76	39	32.9297881820424	6.07021181795758
77	37	35.8252548469204	1.17474515307956
78	34	33.1869818668528	0.813018133147195
79	28	33.7854468599939	-5.78544685999389
80	37	31.9935673374395	5.00643266256045
81	33	35.7309318903695	-2.73093189036947
82	37	36.1558380255807	0.844161974419284
83	35	35.8254683751897	-0.825468375189655
84	37	34.5548824363475	2.44511756365249
85	32	34.7099418615628	-2.70994186156283
86	33	33.652080546482	-0.652080546481971
87	38	36.396897299528	1.603102700472
88	33	34.6336580874676	-1.63365808746759
89	29	33.4171937665327	-4.41719376653266
90	33	33.4218931853927	-0.421893185392698
91	31	35.3443448756921	-4.34434487569212
92	36	33.5320846126173	2.46791538738265
93	35	37.2488053220029	-2.24880532200293
94	32	32.8052686861501	-0.80526868615009
95	29	33.6179676428328	-4.61796764283278
96	39	35.7158633124668	3.28413668753324
97	37	34.6659894914721	2.33401050852788
98	35	33.8010616955066	1.19893830449339
99	37	35.1700207562564	1.82997924374355
100	32	35.5571434937695	-3.5571434937695
101	38	35.8674257173665	2.13257428263351
102	37	34.6955064006884	2.30449359931156
103	36	36.2253804587055	-0.225380458705461
104	32	32.2759640719346	-0.275964071934611
105	33	36.4364630017115	-3.4364630017115
106	40	33.3270903261759	6.67290967382414
107	38	35.2572663235605	2.74273367643946
108	41	36.2625383371942	4.73746166280584
109	36	34.2345222291022	1.76547777089784
110	43	35.7900124249051	7.20998757509494
111	30	34.9180898255647	-4.91808982556474
112	31	34.2092281546792	-3.20922815467923
113	32	37.3317706724329	-5.33177067243286
114	32	33.9629012461031	-1.96290124610311
115	37	34.9045233712673	2.09547662873273
116	37	34.539061033171	2.46093896682905
117	33	36.2958232243025	-3.29582322430253
118	34	36.4458459181372	-2.4458459181372
119	33	35.0804810271287	-2.0804810271287
120	38	35.6226886019916	2.37731139800841
121	33	35.0320288344336	-2.03202883443358
122	31	32.3465819424232	-1.34658194242321
123	38	36.8915027767961	1.10849722320392
124	37	36.4461694662714	0.553830533728602
125	33	33.8130590032909	-0.813059003290947
126	31	34.662785648006	-3.662785648006
127	39	34.6824794110228	4.31752058897722
128	44	36.7254221276095	7.27457787239049
129	33	35.6348885326374	-2.63488853263743
130	35	34.3202479744151	0.6797520255849
131	32	34.3026288878924	-2.30262888789243
132	28	33.1880249735738	-5.18802497357377
133	40	35.8708329828614	4.1291670171386
134	27	33.0349602003019	-6.03496020030193
135	37	36.125668163162	0.87433183683801
136	32	33.0907594226763	-1.09075942267632
137	28	29.3872452179347	-1.38724521793471
138	34	34.5521010244794	-0.552101024479378
139	30	34.1181855027789	-4.11818550277894
140	35	34.43054240287	0.569457597129957
141	31	34.8475253083775	-3.84752530837751
142	32	34.3000775801052	-2.30007758010519
143	30	34.8694772023321	-4.86947720233208
144	30	35.432626756739	-5.43262675673899
145	31	31.1025654161276	-0.102565416127566
146	40	34.0156907092167	5.98430929078325
147	32	32.5120031793026	-0.512003179302587
148	36	34.8390654984339	1.16093450156608
149	32	33.6575002095327	-1.65750020953274
150	35	33.2359639969159	1.76403600308406
151	38	36.5594170456603	1.44058295433969
152	42	35.6678372931657	6.33216270683427
153	34	36.2835292180633	-2.28352921806328
154	35	36.0580443024399	-1.05804430243992
155	35	33.8190676112753	1.18093238872474
156	33	33.1542533435949	-0.154253343594862
157	36	33.5320846126173	2.46791538738265
158	32	35.2908434571475	-3.29084345714755
159	33	35.6348885326374	-2.63488853263743
160	34	34.330357081289	-0.330357081289018
161	32	34.7987690698489	-2.79876906984887
162	34	34.7426092609439	-0.742609260943899

Goldfeld-Quandt test for Heteroskedasticity
p-values	Alternative Hypothesis
breakpoint index	greater	2-sided	less
10	0.329100060731959	0.658200121463918	0.670899939268041
11	0.188082216139748	0.376164432279496	0.811917783860252
12	0.804023197708614	0.391953604582771	0.195976802291386
13	0.877163899659665	0.245672200680669	0.122836100340335
14	0.820976364776168	0.358047270447664	0.179023635223832
15	0.788494306547174	0.423011386905651	0.211505693452826
16	0.810409091486986	0.379181817026028	0.189590908513014
17	0.753291392170706	0.493417215658588	0.246708607829294
18	0.702513451201282	0.594973097597436	0.297486548798718
19	0.654212054562571	0.691575890874858	0.345787945437429
20	0.688802065544732	0.622395868910537	0.311197934455268
21	0.713210475815255	0.57357904836949	0.286789524184745
22	0.667772726655551	0.664454546688897	0.332227273344449
23	0.643161824425656	0.713676351148688	0.356838175574344
24	0.57473394353115	0.8505321129377	0.42526605646885
25	0.598869359902485	0.802261280195029	0.401130640097515
26	0.807397278281916	0.385205443436168	0.192602721718084
27	0.775220224311458	0.449559551377084	0.224779775688542
28	0.75197320883953	0.496053582320939	0.24802679116047
29	0.741917978421684	0.516164043156632	0.258082021578316
30	0.691896801532266	0.616206396935467	0.308103198467734
31	0.664618818227875	0.67076236354425	0.335381181772125
32	0.862769348997172	0.274461302005655	0.137230651002828
33	0.849863511221023	0.300272977557954	0.150136488778977
34	0.828946631221538	0.342106737556924	0.171053368778462
35	0.789783933727988	0.420432132544024	0.210216066272012
36	0.782335490610904	0.435329018778192	0.217664509389096
37	0.796370836563858	0.407258326872283	0.203629163436142
38	0.760260618121465	0.47947876375707	0.239739381878535
39	0.817278483085441	0.365443033829119	0.182721516914559
40	0.779568726801904	0.440862546396192	0.220431273198096
41	0.764351492370075	0.47129701525985	0.235648507629925
42	0.723217500669826	0.553564998660348	0.276782499330174
43	0.721517426828731	0.556965146342538	0.278482573171269
44	0.679408250914332	0.641183498171335	0.320591749085668
45	0.751531137975559	0.496937724048882	0.248468862024441
46	0.719913338602867	0.560173322794266	0.280086661397133
47	0.684587501297326	0.630824997405347	0.315412498702674
48	0.657451690777082	0.685096618445836	0.342548309222918
49	0.609531059708734	0.780937880582531	0.390468940291266
50	0.616001293278668	0.767997413442663	0.383998706721332
51	0.672334358337324	0.655331283325352	0.327665641662676
52	0.635947584407352	0.728104831185297	0.364052415592648
53	0.607505295711895	0.78498940857621	0.392494704288105
54	0.562951567205697	0.874096865588605	0.437048432794303
55	0.530448727165103	0.939102545669795	0.469551272834897
56	0.533501981057088	0.932996037885825	0.466498018942912
57	0.562356794109886	0.875286411780228	0.437643205890114
58	0.67769469489275	0.644610610214499	0.322305305107249
59	0.641955359026082	0.716089281947835	0.358044640973918
60	0.597550341136282	0.804899317727437	0.402449658863718
61	0.558917759993164	0.882164480013673	0.441082240006836
62	0.549334259274531	0.901331481450938	0.450665740725469
63	0.513952854580704	0.972094290838592	0.486047145419296
64	0.524779422612769	0.950441154774463	0.475220577387231
65	0.479474404538546	0.958948809077092	0.520525595461454
66	0.436223666131381	0.872447332262761	0.563776333868619
67	0.399783051928973	0.799566103857946	0.600216948071027
68	0.386613487389577	0.773226974779154	0.613386512610423
69	0.366729510225748	0.733459020451496	0.633270489774252
70	0.325207467748706	0.650414935497412	0.674792532251294
71	0.323091598092825	0.646183196185651	0.676908401907175
72	0.365377833218191	0.730755666436382	0.634622166781809
73	0.354676551339383	0.709353102678767	0.645323448660617
74	0.314302887424153	0.628605774848305	0.685697112575847
75	0.28166353604845	0.5633270720969	0.71833646395155
76	0.381980934671031	0.763961869342063	0.618019065328969
77	0.342937323730761	0.685874647461523	0.657062676269239
78	0.303166745725035	0.60633349145007	0.696833254274965
79	0.408467808803189	0.816935617606378	0.591532191196811
80	0.493347496676024	0.986694993352048	0.506652503323976
81	0.479677844131612	0.959355688263223	0.520322155868388
82	0.440709403418075	0.88141880683615	0.559290596581925
83	0.39796401769259	0.795928035385179	0.60203598230741
84	0.379915439960901	0.759830879921803	0.620084560039099
85	0.365614725585722	0.731229451171444	0.634385274414278
86	0.325099391069417	0.650198782138834	0.674900608930583
87	0.295441988554105	0.590883977108211	0.704558011445895
88	0.265347479768471	0.530694959536942	0.734652520231529
89	0.295759195473768	0.591518390947537	0.704240804526232
90	0.257664975660284	0.515329951320569	0.742335024339716
91	0.290213951596253	0.580427903192505	0.709786048403747
92	0.274763352648574	0.549526705297147	0.725236647351426
93	0.257229982349748	0.514459964699496	0.742770017650252
94	0.223622771575982	0.447245543151965	0.776377228424018
95	0.254639776123811	0.509279552247621	0.745360223876189
96	0.256972248383188	0.513944496766377	0.743027751616812
97	0.238815647773184	0.477631295546367	0.761184352226816
98	0.212178009898017	0.424356019796033	0.787821990101983
99	0.189918388050868	0.379836776101737	0.810081611949132
100	0.191171151390083	0.382342302780166	0.808828848609917
101	0.174350161824917	0.348700323649833	0.825649838175083
102	0.159746337090454	0.319492674180909	0.840253662909546
103	0.132318757309692	0.264637514619383	0.867681242690308
104	0.111448039858379	0.222896079716759	0.888551960141621
105	0.122222495977737	0.244444991955473	0.877777504022263
106	0.233748390312674	0.467496780625349	0.766251609687326
107	0.225372383724796	0.450744767449592	0.774627616275204
108	0.258531407430622	0.517062814861244	0.741468592569378
109	0.24821213941336	0.49642427882672	0.75178786058664
110	0.476410703813293	0.952821407626585	0.523589296186707
111	0.549677090696719	0.900645818606563	0.450322909303281
112	0.534494693262004	0.931010613475993	0.465505306737996
113	0.637509918903084	0.724980162193833	0.362490081096916
114	0.59857642921889	0.802847141562221	0.40142357078111
115	0.56961430567361	0.86077138865278	0.43038569432639
116	0.5428603608809	0.9142792782382	0.4571396391191
117	0.521375025944796	0.957249948110408	0.478624974055204
118	0.492154652340662	0.984309304681324	0.507845347659338
119	0.452433195861029	0.904866391722057	0.547566804138971
120	0.417834005534709	0.835668011069418	0.582165994465291
121	0.37369268086411	0.74738536172822	0.62630731913589
122	0.327866685055059	0.655733370110118	0.672133314944941
123	0.281589481123404	0.563178962246807	0.718410518876596
124	0.237373078702531	0.474746157405063	0.762626921297469
125	0.196749450531493	0.393498901062987	0.803250549468507
126	0.213385801827812	0.426771603655624	0.786614198172188
127	0.2325373211618	0.465074642323601	0.7674626788382
128	0.450945652743397	0.901891305486794	0.549054347256603
129	0.416226868363479	0.832453736726958	0.583773131636521
130	0.369596337980806	0.739192675961612	0.630403662019194
131	0.329047545585361	0.658095091170722	0.670952454414639
132	0.401113926531734	0.802227853063467	0.598886073468266
133	0.481114021645055	0.96222804329011	0.518885978354945
134	0.582682950843147	0.834634098313705	0.417317049156853
135	0.529262700662353	0.941474598675293	0.470737299337647
136	0.466034441189782	0.932068882379565	0.533965558810218
137	0.41905179085218	0.83810358170436	0.58094820914782
138	0.351182967953196	0.702365935906391	0.648817032046804
139	0.379103956837191	0.758207913674381	0.620896043162809
140	0.329286640259912	0.658573280519824	0.670713359740088
141	0.320833474856229	0.641666949712459	0.679166525143771
142	0.263544872738536	0.527089745477072	0.736455127261464
143	0.334527381469139	0.669054762938278	0.665472618530861
144	0.661582015869995	0.676835968260011	0.338417984130005
145	0.574474021470723	0.851051957058553	0.425525978529277
146	0.974733819799261	0.050532360401477	0.0252661802007385
147	0.964448027995318	0.0711039440093647	0.0355519720046824
148	0.954820139024404	0.0903597219511929	0.0451798609755964
149	0.942399220435507	0.115201559128987	0.0576007795644933
150	0.887893399584978	0.224213200830043	0.112106600415022
151	0.887920267975187	0.224159464049627	0.112079732024813
152	0.96504327626565	0.0699134474686999	0.03495672373435

Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description	# significant tests	% significant tests	OK/NOK
1% type I error level	0	0	OK
5% type I error level	0	0	OK
10% type I error level	4	0.027972027972028	OK